SOLUTION: Divide and simplify: {{{(f+1)/(f-1)}}}{{{"÷"}}}{{{(3f+3)/(f-9)}}}

Algebra ->  Exponents -> SOLUTION: Divide and simplify: {{{(f+1)/(f-1)}}}{{{"÷"}}}{{{(3f+3)/(f-9)}}}       Log On


   

Question 418173: Divide and simplify: %28f%2B1%29%2F%28f-1%29%22%F7%22%283f%2B3%29%2F%28f-9%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

%28f%2B1%29%2F%28f-1%29%22%F7%22%283f%2B3%29%2F%28f-9%29

Invert the second fraction and change the division 
to multiplication:

%28f%2B1%29%2F%28f-1%29%22%D7%22%28f-9%29%2F%283f%2B3%29

Indicate the multiplications of the tops and bottoms:

%28%28f%2B1%29%28f-9%29%29%2F%28%28f-1%29%283f%2B3%29%29

Factor 3 out of (3f+3):

%28%28f%2B1%29%28f-9%29%29%2F%28%28f-1%293%28f%2B1%29%29

Cancel the (f+1)'s:

%28%28cross%28f%2B1%29%29%28f-9%29%29%2F%28%28f-1%293%28cross%28f%2B1%29%29%29

%28f-9%29%2F%28%28f-1%293%29

Move the 3 in front on the bottom:

%28f-9%29%2F%283%28f-1%29%29

or if you like you can distribute the bottom:

%28f-9%29%2F%283f-3%29

Edwin